No.
yes... this figure does tessellate
No it does not tessellate you have to pentagons in order for it to tessellate. * * * * * It is not at all clear what "have to pentagons" has to do with this. No polygon with 7 or more sides will tessellate. Octagons will tessellate if mixed with squares but that is not "proper" tessellation since it involved more than one shape.
A regular pentagon will not tessellate.
A regular hexagon will tessellate.
A square will tessellate leaving no gaps or overlaps but a circle does not tessellate.
because a circle is round. you need uncurved edges to tessellate.
No.
No.
No but a square will tessellate on its own.
yes
Hexagon: Yes Circle: No
No.
There will always be a gap between any three circles and so they cannot tessellate.Rhombi, alone, WILL tessellate.
In order for a polygon to tessellate, the angles must add up to 360 degrees, to come full circle. Triangles have 60 degree angles, so 6 of them circle together. Squares have 90 degree angles, so 4 of them tessellate to a point. Hexagons can even tessellate, because the 120 degree angles add up to 360. But pentagons have 108 degree angles. Three of them add up to 324, only leaving 36 degrees left to close the circle.
No. Circles lack straight edges, and thus cannot tesselate with triangles.
No cones can not tessellate.